Fractional Killing-Yano Tensors and Killing Vectors Using the Caputo Derivative in Some One- and Two-Dimensional Curved Space-Reference-Cited by-同舟云学术

Fractional Killing-Yano Tensors and Killing Vectors Using the Caputo Derivative in Some One- and Two-Dimensional Curved Space

Published:2014 Issue: Volume:2014 Page:1-4
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Malkawi Ehab¹^ORCID,Baleanu D.²³⁴

Affiliation:

1. Department of Physics, United Arab Emirates University, 15551 Al Ain, UAE

2. Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi Arabia

3. Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Cankaya University, 06530, Balgat, Ankara, Turkey

4. Institute of Space Sciences, Magurele 76900, Bucharest, Romania

Abstract

The classical free Lagrangian admitting a constant of motion, in one- and two-dimensional space, is generalized using the Caputo derivative of fractional calculus. The corresponding metric is obtained and the fractional Christoffel symbols, Killing vectors, and Killing-Yano tensors are derived. Some exact solutions of these quantities are reported.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/290694.pdf

Reference28 articles.

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